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On Minimal Submanifolds of a unit Sphere
by
Mahmoud, Abbas Abdelaziz Gumaa
, Mohamed, Elham Abdelhamied Hamad
, Bashir, Mohammad Ali
in
الفضاء الإقليدي
/ المعادلات الجبرية
/ الهندسة التفاضلية
2022
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On Minimal Submanifolds of a unit Sphere
by
Mahmoud, Abbas Abdelaziz Gumaa
, Mohamed, Elham Abdelhamied Hamad
, Bashir, Mohammad Ali
in
الفضاء الإقليدي
/ المعادلات الجبرية
/ الهندسة التفاضلية
2022
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Journal Article
On Minimal Submanifolds of a unit Sphere
2022
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Overview
In this paper, we considered minimal Hyper surfaces in n-dimensional Eeclidean space. Our objective is to study variations described by algebraic or differential equation via the geometrical properties of manifold such us curvature. Our technique is differential geometry methods. We obtained a relationship between the parameterization of theres Hyper surfaces and their mean curvature H and other results, we also showed that a Hyper surface is minimal if and only if the coordinate's function of the parameterization are harmonic.
Publisher
مركز السودان للبحوث والدراسات الاستراتيجية
Subject
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